Performance analysis of the compressed distributed least squares algorithm

doi:10.1016/j.sysconle.2022.105228

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	Performance analysis of the compressed distributed least squares algorithm
	Gan, Die ; Liu, Zhixin1
	2022-06-01
发表期刊	SYSTEMS & CONTROL LETTERS
ISSN	0167-6911
卷号	164 页码:9
摘要	In this paper, we consider the distributed estimation problem of unknown high-dimensional sparse signals for a random dynamic system. We propose a compressed distributed algorithm by using the compressive sensing theory and the distributed least squares (LS) algorithm. Under a compressed cooperative persistent excitation condition, the upper bound of the estimation error is established which is positively related to the restricted isometry constant. Our results are obtained without relying on some stringent conditions such as independency or stationarity of the regression vectors. Finally, we provide a simulation example to show that the compressed distributed least squares algorithm has better performance than the regularized distributed LS algorithm with l1 penalty for the estimation of high-dimensional sparse signals. (C) 2022 Elsevier B.V. All rights reserved.
关键词	Sparse signal Compressive sensing Distributed least squares Performance analysis
DOI	10.1016/j.sysconle.2022.105228
收录类别	SCI
语种	英语
资助项目	National Key R&D Program of China[2018YFA0703800] ; Strategic Priority Research Program of Chinese Academy of Sciences[XDA27000000] ; Natural Science Foundation of China[U21B6001] ; National Science Foundation of Shandong Province, China[ZR2020ZD26]
WOS研究方向	Automation & Control Systems ; Operations Research & Management Science
WOS类目	Automation & Control Systems ; Operations Research & Management Science
WOS记录号	WOS:000800480400005
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61500
专题	系统科学研究所
通讯作者	Liu, Zhixin
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Gan, Die,Liu, Zhixin. Performance analysis of the compressed distributed least squares algorithm[J]. SYSTEMS & CONTROL LETTERS,2022,164:9.
APA	Gan, Die,&Liu, Zhixin.(2022).Performance analysis of the compressed distributed least squares algorithm.SYSTEMS & CONTROL LETTERS,164,9.
MLA	Gan, Die,et al."Performance analysis of the compressed distributed least squares algorithm".SYSTEMS & CONTROL LETTERS 164(2022):9.